6409277280 has 960 divisors, whose sum is σ = 27820412928. Its totient is φ = 1358622720.

The previous prime is 6409277261. The next prime is 6409277293. The reversal of 6409277280 is 827729046.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120929734 + ... + 120929786.

Almost surely, 2^6409277280 is an apocalyptic number.

6409277280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910206464).

6409277280 is an abundant number, since it is smaller than the sum of its proper divisors (21411135648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6409277280 is a wasteful number, since it uses less digits than its factorization.

6409277280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6409277280 is about 80057.9620025391. The cubic root of 6409277280 is about 1857.5322111352.

The spelling of 6409277280 in words is "six billion, four hundred nine million, two hundred seventy-seven thousand, two hundred eighty".